%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN412+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:07:47 PM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 1 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 14 ~; 8 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 ( 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
! [X1] :
( f(X0,X1)
<=> ~ f(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish255) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
! [X1] :
( f(X0,X1)
<=> ~ f(X0,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0] :
! [X1] :
( f(X0,X1)
<=> ~ f(X0,X0) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
? [X0] :
! [X1] :
( ( f(X0,X1)
| f(X0,X0) )
& ( ~ f(X0,X0)
| ~ f(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
! [X1] :
( ( f(sK0,X1)
| f(sK0,sK0) )
& ( ~ f(sK0,sK0)
| ~ f(sK0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).
fof(f6,plain,
! [X1] :
( ~ f(sK0,sK0)
| ~ f(sK0,X1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X1] :
( f(sK0,X1)
| f(sK0,sK0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X1] :
( ~ f(sK0,X1)
| ~ f(sK0,sK0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f9,plain,
! [X1] :
( f(sK0,sK0)
| f(sK0,X1) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f20,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f8,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN412+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:57:41 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.27 % (3976473)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (3976479)% WARNING: option uhcvi not known.
% 0.19/0.27 % (3976478)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=543788982_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (3976482)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1698956736:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % (3976481)dis+10_1_sil=32000:sp=arity:random_seed=1925796231:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (3976479)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2822821098:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % (3976480)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=675290427:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % Detected minimum model sizes of [1]
% 0.19/0.27 % Detected maximum model sizes of [1]
% 0.19/0.27 % TRYING [1]
% 0.19/0.27 % (3976478) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3976473-3976478"...
% 0.19/0.27 % (3976479) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3976473-3976479"...
% 0.19/0.27 % (3976482) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3976473-3976482"...
% 0.19/0.27 % (3976483)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2790139293:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (3976481) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3976473-3976481"...
% 0.19/0.27 % (3976480) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3976473-3976480"...
% 0.19/0.27 % (3976483) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3976473-3976483"...
% 0.19/0.27 % (3976484)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4251532600:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % (3976478)...printing done.
% 0.19/0.27 % (3976482)...printing done.
% 0.19/0.27 % (3976479)...printing done.
% 0.19/0.27 % (3976481)...printing done.
% 0.19/0.27 % (3976480)...printing done.
% 0.19/0.27 % (3976483)...printing done.
% 0.19/0.27 % (3976484) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3976473-3976484"...
% 0.19/0.27 % (3976478)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (3976478)------------------------------
% 0.19/0.27 % (3976478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (3976478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (3976478)CaDiCaL version: 2.1.3
% 0.19/0.27 % (3976478)Termination reason: Refutation
% 0.19/0.27 % (3976478)Time elapsed: 0.001 s
% 0.19/0.27 % (3976478)Peak memory usage: 11 MB
% 0.19/0.27 % (3976473)Success in time 0.044 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------